On the boundary conditions for axially moving beams

Journal of Sound and Vibration - Tập 306 - Trang 675-690 - 2007
Usik Lee1, Injoon Jang1
1Department of Mechanical Engineering, Inha University, 253 Yonghyun-Dong, Nam-Ku, Incheon 402-751, Republic of Korea

Tài liệu tham khảo

Wickert, 1988, Current research on the vibration and stability of axially moving materials, Shock and Vibration Digest, 20, 3, 10.1177/058310248802000503 Pellicano, 2001, Non-linear dynamics and bifurcations of an axially moving beam, Journal of Vibration and Acoustics, 122, 21, 10.1115/1.568433 Mote, 1965, A study of band saw vibrations, Journal of the Franklin Institute, 279, 430, 10.1016/0016-0032(65)90273-5 Mote, 1966, Theoretical and experimental band saw vibrations, Journal of Engineering for Industry, 88, 151, 10.1115/1.3670906 Wang, 1986, Vibration coupling analysis of band/wheel mechanical systems, Journal of Sound and Vibration, 102, 1 Hwang, 1992, Supercritical stability of an axially moving beam: parts I and II, Journal of Sound and Vibration, 154, 381, 10.1016/0022-460X(92)90774-R Al-Jawi, 1995, Vibration localization in dual-span axially moving beams—part I: formulation and results, Journal of Sound and Vibration, 179, 243, 10.1006/jsvi.1995.0016 Murphy, 2000, Vibration and stability of a cracked translating beam, Journal of Sound and Vibration, 237, 319, 10.1006/jsvi.2000.3058 Pellicano, 2001, Primary and parametric non-linear resonance of a power transmission belt: experimental and theoretical analysis, Journal of Sound and Vibration, 244, 669, 10.1006/jsvi.2000.3488 Lee, 1993, Dynamics of a beam moving over multiple supports, International Journal of Solids and Structures, 30, 199, 10.1016/0020-7683(93)90060-K Stylianou, 1994, Finite element analysis of an axially moving beam–part I: time integration, Journal of Sound and Vibration, 178, 433, 10.1006/jsvi.1994.1497 Sreeram, 1998, FE-analysis of a moving beam using Lagrangian multiplier method, International Journal of Solids and Structures, 35, 3675, 10.1016/S0020-7683(97)00230-8 Wickert, 1990, Classical vibration analysis of axially moving continua, Journal of Applied Mechanics, 57, 738, 10.1115/1.2897085 Riedel, 1998, Dynamic characteristics and mode localization of elastically constrained axially moving strings and beams, Journal of Sound and Vibration, 215, 455, 10.1006/jsvi.1998.1643 Thurman, 1969, Free, periodic, nonlinear oscillation of an axially moving strip, Journal of Applied Mechanics, 36, 83, 10.1115/1.3564591 Öz, 1999, Vibrations of an axially moving beam with time-dependent velocity, Journal of Sound and Vibration, 227, 239, 10.1006/jsvi.1999.2247 Öz, 2001, On the vibrations of an axially traveling beam on fixed supports with variable velocity, Journal of Sound and Vibration, 239, 556, 10.1006/jsvi.2000.3077 Wickert, 1992, Non-linear vibration of a traveling tensioned beam, International Journal of Non-Linear Mechanics, 27, 503, 10.1016/0020-7462(92)90016-Z Özkaya, 2000, Vibrations of an axially accelerating beam with small flexural stiffness, Journal of Sound and Vibration, 234, 521, 10.1006/jsvi.2000.2890 Tabarrok, 1974, On the dynamics of an axially moving beam, Journal of the Franklin Institute, 297, 201, 10.1016/0016-0032(74)90104-5 Wang, 1996, Active and passive vibration control of an axially moving beam by smart hybrid bearings, Journal of Sound and Vibration, 195, 575, 10.1006/jsvi.1996.0446 Lee, 1997, A generalized treatment of the energetic of translating continua—part II: beams and fluid conveying pipes, Journal of Sound and Vibration, 204, 735, 10.1006/jsvi.1996.0946 Lee, 1999, Wave characteristics and vibration control of translating beams by optimal boundary damping, Journal of Vibration and Acoustics, 121, 18, 10.1115/1.2893942 Chakraborty, 2000, Wave propagation in and vibration of a traveling beam with and without non-linear effects–part I: free vibration. Part II: forced vibration, Journal of Sound and Vibration, 236, 277, 10.1006/jsvi.2000.2971 Li, 2000, Adaptive vibration isolation for axially moving beams, IEEE/ASME Transactions on Mechatronics, 5, 419, 10.1109/3516.891053 Kwon, 2000, Vibration power flow in the moving belt passing through a tensioner, Journal of Sound and Vibration, 229, 329, 10.1006/jsvi.1999.2484 Simpson, 1973, Transverse modes and frequencies of beams translating between fixed end supports, Journal of Mechanical Engineering Science, 15, 159, 10.1243/JMES_JOUR_1973_015_031_02 Chonan, 1986, Steady state response of an axially moving strip subjected to a stationary lateral load, Journal of Sound and Vibration, 107, 155, 10.1016/0022-460X(86)90290-7 Oh, 2004, Dynamics of an axially moving Bernoulli–Euler beam: spectral element modeling and analysis, KSME International Journal, 18, 382, 10.1007/BF02996105 Lee, 2004, Spectral analysis for the transverse vibration of an axially moving Timoshenko beam, Journal of Sound and Vibration, 271, 685, 10.1016/S0022-460X(03)00300-6 Lee, 2005, Dynamics of an axially moving viscoelastic beam subject to axial tension, International Journal of Solids and Structures, 42, 2381, 10.1016/j.ijsolstr.2004.09.026 Kwon, 2006, Spectral element modeling and analysis of an axially moving thermoelastic beam-plate, Journal of Mechanics of Materials and Structures, 1, 605, 10.2140/jomms.2006.1.605 Doyle, 1997 Lee, 2000, The spectral element method in structural dynamics, The Shock and Vibration Digest, 32, 451, 10.1177/058310240003200601 Lee, 2004 McIver, 1973, Hamilton's principle for systems of changing mass, Journal of Engineering Mathematics, 7, 249, 10.1007/BF01535286 Semler, 1994, The non-linear equations of motion of pipes conveying fluid, Journal of Sound and Vibration, 169, 577, 10.1006/jsvi.1994.1035 Benaroya, 2000, Hamilton's principle for external viscous fluid–structure interaction, Journal of Sound and Vibration, 238, 113, 10.1006/jsvi.2000.3152 Newland, 1993 Reddy, 1993 Graff, 1991